Final answer:
The question asks for a sketch of the electric field and equipotential lines around a positively charged sphere at the origin, illustrated with outward radiating field lines and concentric circles for equipotentials.
Step-by-step explanation:
The question pertains to the concepts of electric fields and equipotential lines surrounding a charged object in physics. When sketching the sphere with electric field lines, one must depict lines radiating outward symmetrically from the origin if the charge is positive (as in this case). With the sphere at the origin (0,0) of the coordinate system, the electric field lines should be drawn as straight lines pointing directly away from the origin in all directions, indicating how a positive test charge would move if placed in the vicinity of the sphere. Equipotential lines are contours where the electric potential value is constant. Since the potential around a point charge is spherically symmetrical, the equipotential lines are circles centered on the charge. However, these lines would not intersect the electric field lines, as the potential is the same at all points along an equipotential line and a charged particle would not spontaneously move along that line in the absence of an external force.